Skip to main content
Log in

Multidimensional Erlang model with randomized call admission control strategy and its application in communication networks

  • Published:
Cybernetics and Systems Analysis Aims and scope

Abstract

An analytical method is proposed for the analysis of a multidimensional Erlang model with randomized call admission control strategy. The applications of this model in both wireless multiservice cellular networks and integrated voice/data networks are demonstrated.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. K. Erlang, “The theory of probabilities and telephone conversations,” Nyt Tidsskrift for Matematik, B-20, 33–39 (1909).

    Google Scholar 

  2. I. N. Kovalenko, “On independence of stationary distributions of the form of the service time distribution law,” Probl. Pered. Inform., No. 11, 104–113 (1963).

  3. D. Y. Burman, J. P. Lehoczky, and Y. Lim, “Insensitivity of blocking probabilities in a circuit-switched network,” J. Appl. Probab., 21, No. 4, 850–859 (1984).

    Article  MathSciNet  MATH  Google Scholar 

  4. V. B. Iversen, Teletraffic Engineering and Network Planning, Techn. Univ. of Denmark, Lyndby (2010).

    Google Scholar 

  5. F. P. Kelly, “Loss networks,” Ann. Appl. Probab., 1, No. 3, 319–378 (1991).

    Article  MathSciNet  MATH  Google Scholar 

  6. A. Z. Melikov, “Computation and optimization methods for multiresource queues,” Cybern. Syst. Analysis, 32, No. 6, 821–836 (1996).

    Article  MathSciNet  MATH  Google Scholar 

  7. K. W. Ross, Multi-Service Loss Models for Broadband Telecommunications Networks, Springer-Verlag, New York (1995).

    Google Scholar 

  8. G. P. Basharin, Lectures on the Mathematical Teletraffic Theory [in Russian], Izd. RUDN, Moscow (2009).

    Google Scholar 

  9. A. Z. Melikov, L. A. Ponomarenko, and V. V. Paladyuk, Teletraffik. Models, Methods, Optimization [in Russian], IPK “Politekhnika,” Kyiv (2007).

  10. B. Moretta and I. Ziedins, “Admission controls for Erlang’s loss system with service times distributed as a finite sum of exponential random variables,” J. Appl. Math. and Decision Sci., 2, No. 2, 119–132 (1998).

    Article  MathSciNet  MATH  Google Scholar 

  11. S. Choi, T. Kwon, Y. Choi, and M. Naghshineh, “Call admission control for multimedia services in mobile cellular networks: A Markov decision approach,” in: Proc. 5th IEEE Comp. Com. Symp., France (2000), pp. 594–599.

  12. Y. Fang, “Thinning schemes for call admission control in wireless networks,” IEEE Trans. Comp., 52, No. 5, 685–687 (2003).

    Article  Google Scholar 

  13. S. E. Ogbonmwan and L. Wei, “Multi-threshold bandwidth reservation scheme of an integrated voice/data wireless network,” Comp. Com., 29, No. 9, 1504–1515 (2006).

    Article  Google Scholar 

  14. Y. Fang and Y. Zhang, “Call admission control schemes and performance analysis in wireless mobile networks,” IEEE Trans. Vehicular Technology, 51, No. 2, 371–382 (2002).

    Article  MathSciNet  Google Scholar 

  15. R. W. Wolff, “Poisson arrivals see time averages,” Oper. Res., 30, No. 2, 223–231 (1992).

    Article  MathSciNet  Google Scholar 

  16. J. S. Kaufman, “Blocking in shared resource environment,” IEEE Trans. Com., 10, No. 2, 1474–1481 (1981).

    Article  MathSciNet  Google Scholar 

  17. C. S. Kim, A. Z. Melikov, and L. A. Ponomarenko, “Numerical investigation of a multithreshold access strategy in multiservice cellular wireless networks,” Cybern. Syst. Analysis, 45, No. 5, 680–691 (2009).

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. Z. Melikov.

Additional information

Translated from Kibernetika i Sistemnyi Analiz, No. 4, pp. 117–124, July–August 2011.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Melikov, A.Z., Ponomarenko, L.A. Multidimensional Erlang model with randomized call admission control strategy and its application in communication networks. Cybern Syst Anal 47, 606–612 (2011). https://doi.org/10.1007/s10559-011-9341-3

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10559-011-9341-3

Keywords

Navigation